Nonlinear dynamics. Non-integrable systems and chaotic dynamics
DOI10.1515/9783110430585zbMath1358.37098OpenAlexW4237258728MaRDI QIDQ338437
Vladimir V. Zverev, Alexander B. Borisov
Publication date: 4 November 2016
Published in: De Gruyter Studies in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/9783110430585
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Complex behavior and chaotic systems of ordinary differential equations (34C28) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
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